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Finding the Fourth Proportional to 37,983.30, 56,978.19 and 9,907.08

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Solution

The fourth proportional to 37,983.30, 56,978.19 and 9,907.08 is: 14,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983.30 : 56,978.19 = 9,907.08 : x
  2. Step 2: Convert to fraction form
    37,983.30/56,978.19 = 9,907.08/x
  3. Step 3: Cross multiply
    37,983.30x = 56,978.19 × 9,907.08
  4. Step 4: Simplify right side
    37,983.30x = 564,487,486.59
  5. Step 5: Solve for x
    x = 564,487,486.59/37,983.30
  6. Step 6: Final answer
    x = 14,861.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.